What are the underlying principles of how populations change over time? Two basic principles are involved, the idea of exponential growth and its ultimate control. The basics of population ecology ...

Check out the article by J. Vandermeer (2010) for a more detailed explanation of the equations that describe exponential and logistic growth. Figure 5: This curve describes logistic growth.

A variable undergoing logistic growth initially grows exponentially. After some time, the rate of growth decreases and the function levels off, forming a sigmoid, or s-shaped curve. For example ...

This feature of exponential growth is what caused many careless commentators to be too sure early in the COVID-19 pandemic that all was going well since the number of cases ... slowing of the doubling ...

No matter how quickly agricultural productivity grows, if that growth is arithmetical — 10, 20, 30, 40, 50 — then it will inevitably be overtaken by the exponential progress of human ...